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On the structure of surface pure braid groups

✍ Scribed by D.L. Gonçalves; J. Guaschi

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 347 KB
Volume: 182
Category: Article
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(02)00309-2

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✦ Synopsis

We describe some of the properties of the pure braid groups of surfaces di erent from S 2 and RP 2 . In the case of compact, connected, orientable surfaces without boundary and of genus at least two, we give a necessary and su cient condition for the splitting of the pure braid group exact sequence of Fadell and Neuwirth, thus answering completely a question of Birman.

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Erratum to: “On the structure of surface pure braid groups”: [Journal of Pure and Applied Algebra 182 (2003) 33–64]

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